A 2000 kg car moving at 20 m/s collides head-on with a 600 kg car moving at 13 m/s in the opposite direction. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
A 900 kg car moving at 13 m/s collides head-on with a 1800 kg car moving at 13 m/s in the opposite direction. The cars lock together. Find their common velocity v′ just after the collision (positive in the first car’s direction).
An 8 g bullet is fired horizontally into a 3.5 kg wooden block hanging on light strings, and stays inside it. The block swings up until it is 17 cm higher than at the start. Use g = 9.81 m/s². Find the speed v of the bullet before impact.
An 8 kg projectile moving horizontally at 26 m/s explodes into two fragments that move along the same line. The 6 kg fragment continues forwards at 82 m/s. Find the velocity v′2 of the 2 kg fragment (positive in the original direction).
A 0.45 kg ball hits a wall at 9 m/s and bounces straight back at 18 m/s. The contact lasts 5 ms. Find the average force Favg of the wall on the ball.
A 0.6 kg ball hits a wall at 20 m/s and bounces straight back at 5 m/s. The contact lasts 40 ms. Find the average force Favg of the wall on the ball.
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